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54983781408 = 2531931972407
BaseRepresentation
bin110011001101010010…
…011110110000100000
312020220220200111110110
4303031102132300200
51400101322001113
641131553131320
73654356300463
oct631522366040
9166826614413
1054983781408
1121355a02866
12a7a5b59b40
1352534403ca
1429385ad2da
15166c195bc3
hexccd49ec20

54983781408 has 96 divisors (see below), whose sum is σ = 156829962240. Its totient is φ = 16803175680.

The previous prime is 54983781403. The next prime is 54983781431. The reversal of 54983781408 is 80418738945.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (54983781403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429660 + ... + 542747.

It is an arithmetic number, because the mean of its divisors is an integer number (1633645440).

Almost surely, 254983781408 is an apocalyptic number.

It is an amenable number.

54983781408 is an abundant number, since it is smaller than the sum of its proper divisors (101846180832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54983781408 is a wasteful number, since it uses less digits than its factorization.

54983781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972470 (or 972462 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 54983781408 in words is "fifty-four billion, nine hundred eighty-three million, seven hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 56544 972407 1944814 2917221 3889628 5834442 7779256 11668884 15558512 18475733 23337768 30144617 31117024 36951466 46675536 55427199 60289234 73902932 90433851 93351072 110854398 120578468 147805864 180867702 221708796 241156936 295611728 361735404 443417592 482313872 572747723 591223456 723470808 886835184 964627744 1145495446 1446941616 1718243169 1773670368 2290990892 2893883232 3436486338 4581981784 6872972676 9163963568 13745945352 18327927136 27491890704 54983781408